Finding the Third Proportional to 157,185,784,860 and 341,912,144,520
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Solution
The third proportional to 157,185,784,860 and 341,912,144,520 is: 743,730,832,113.02
Step by Step Solution
- Step 1: Write the proportion equation
157,185,784,860 : 341,912,144,520 = 341,912,144,520 : x - Step 2: Convert to fraction form
157,185,784,860/341,912,144,520 = 341,912,144,520/x - Step 3: Cross multiply
157,185,784,860x = 341,912,144,520 × 341,912,144,520 - Step 4: Simplify right side
157,185,784,860x = 116,903,914,570,265,374,228,480 - Step 5: Solve for x
x = 116,903,914,570,265,374,228,480/157,185,784,860 - Step 6: Final answer
x = 743,730,832,113.02
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.